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Natalija [7]
3 years ago
6

I am a prime number between 30 and 40. What number could I be?

Mathematics
2 answers:
belka [17]3 years ago
7 0

Answer:

<h2>31, 37</h2>

Step-by-step explanation:

The prime number is a number that has only two divisors: 1 and itself.

There is only one even prime number: 2.

We will check all consecutive odd numbers between 30 and 40.

31 has only two divisors: 1 and 31 → PRIME NUMBER

33 has four divisors: 1, 3, 11, 33

35 has four divisors: 1, 5, 7, 35

37 has only two divisors: 1 and 31 → PRIME NUMBER

39 has four divisors: 1, 3, 13, 39

Aneli [31]3 years ago
5 0

Answer:

31 and 37 are the only prime numbers between 30 and 40

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Two thirds of a number is 3 1/2 more than three eights of a number. find the number
julsineya [31]
2/3x = 3.5 + 3/8x
8 • (2/3x) = 3.5 + 3 • (3/8)

16/24 X = 3.5 + 9/24 X
16/24x - 9/24x = 3.5
7/24 X = 3.5
7x/24 = 3.5
24 • (7x/24) = 3.5 • 24
7x = 84
7x/7 = 84/7
X = 12.

The number is 12.
6 0
3 years ago
A gumball machine has 300 red gumballs. If the red gumballs are 75% of the total number of gumballs, how many gumballs are in th
Arada [10]

Answer:

400 gumballs are in the gumball machine

Step-by-step explanation:

75% = 300 gumballs

Find 1%:

1% = 300 ÷ 75 = 4 gumballs

Find 100%:

100% = 4 x 100 = 400 gumballs.

I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)

5 0
2 years ago
Write the equation of the line that passes through the points (-2,0) and (1,2).
Ierofanga [76]

Answer:

y = 2/3x + 1 1/3

Step-by-step explanation:

Find the slope using rise over run, (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(2 - 0) / (1 + 2)

2 / 3

= 2/3

Then, plug in the slope and a point into y = mx + b to solve for b:

y = mx + b

2 = 2/3(1) + b

2 = 2/3 + b

1 1/3 = b

Plug in the slope and y intercept into y = mx + b

y = 2/3x + 1 1/3 is the equation of the line

5 0
3 years ago
Two points A and B on a plan represent two localities 12 m apart. Given that the segment AB is 6cn long, find the scale used to
natka813 [3]

Answer:

The scale is 1:200

Step-by-step explanation:

On the plan we have the drawing as 6 cm

In real representation, we have the distance as 12 m

Firstly we have to convert to same unit

In this case, we use the cm for convenience

Mathematically, 100 cm is 1 m

Thus, 12 m

will be 12 * 100 = 1,200 cm

So, we have the ratio as;

6 cm : 1,200 cm

and that is 1:200 (since 6/1200 = 1/200 and in ratio form, we have that as 1:200)

7 0
3 years ago
Evaluate the following double integral where a = 2y
Keith_Richards [23]

Change the order of integration.

\displaystyle \int_0^1 \int_{2y}^2 \cos(x^2) \, dx \, dy = \int_0^2 \int_0^{x/2} \cos(x^2) \, dy \, dx \\\\ ~~~~~~~~ = \int_0^2 \cos(x^2) y \bigg|_{y=0}^{y=x/2} \, dx \\\\ ~~~~~~~~ = \frac12 \int_0^2 x \cos(x^2) \, dx

Substitute u=x^2 and du=2x\,dx.

\displaystyle \frac12 \int_0^2 x \cos(x^2) \, dx = \frac14 \int_0^4 \cos(u) \, du = \frac14 \sin(u) \bigg|_{u=0}^{u=4} = \boxed{\frac{\sin(4)}4}

4 0
11 months ago
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